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Relation between the free-free and scattering cross sections and 'two-state resonances' in bremsstrahlung

L G D'yachkov and G A Kobzev

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The bremsstrahlung cross section (BCS) for electrons scattering on a short-range model potential is expressed in terms of the partial elastic scattering cross sections, sigma t(E), for the initial (Ei) and final (Ef) electron energies without the use of the low-frequency approximation. The relation obtained allows a description of the behaviour of BCS close to the scattering resonances. Resonances in the high-frequency limit of bremsstrahlung and 'two-state resonances' (free-free transitions connecting two scattering resonances) are considered. It is shown that in the vicinity of the 'two-state resonance' BCS (considered as a function of the two variables Ei and Ef) behaves as the product of the corresponding partial resonant scattering cross sections sigma l1(Ei) sigma l2(Ef). Resonances in the soft X-ray emission from lanthanum and cerium are discussed.


PACS

34.80.Bm Elastic scattering

34.10.+x General theories and models of atomic and molecular collisions and interactions (including statistical theories, transition state, stochastic and trajectory models, etc.)

Subjects

Atomic and molecular physics

Dates

Issue 9 (14 May 1983)



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